The HARDEST Puzzle Yet!

This just might be the hardest puzzle we've done on Scam School. The great Diamond Jim Tyler joins Brian to stump the brainiest of brainiacs to get to 6 the Hard Way.
Rules: 1) You cannot draw a number 2) To get to 6, all you can use are mathematical symbols - as long as they don't include a number.
Accept the challenge! Pause the video around 3:30 to solve the puzzle ALL on your own. Can YOU do it? Be sure to brag to Brian: / shwood
A big thank you to Diamond Jim Tyler for helping out this week! www.diamond-jim.com
You can find his Bamboozlers books over at scamstuff.com
*New episodes every Wednesday*
Check out more Scam School:
/ scamschool
And have a look inside Brian's brain at his personal channel - in all its delightful chaos: / shwooddotcom
--
For more Scam School, follow Brian at all the social media places:
/ scamschool
/ shwood
/ shwood
google.com/+shwood

[@scamschool]

**psst** Are you enjoying Scam School? You've gotta check out our *brand-new series* "The Modern Rogue" at kzbin.info. If you've seen it, reply and tell me what you think. If not, then get on over there. I'll bet you a dollar you love it. -Brian

[@finnrodger1199]

Scam School looks like I owe you a dollar. It was great 👍🏾

[@markanthony5622]

I freaking love The Modern Rogue even more than Scam School, which is saying something.

[@UnknownRepublic]

8 is the easiest. cube root 8 + cube root 8 + cube root 8 = 6

[@skylareckdahl2845]

8-√√8+8))

[@caydensullivan9650]

Awesome

[@vishrantgoyal8225]

There is much easier way to solve for 8s, without factorials: (8 - sqrt(sqrt(8 + 8)))

[@OwenCampbellMoore]

Came to the comments to type this

[@ilchickentv340]

@@OwenCampbellMoore same

[@ilchickentv340]

Only thing I can say about this one is that google calculator doesn’t like the sqrt(sqrt part. It gives an error. But then, it also gives an error for sqrt(8+8).

[@Gabitza379]

Math is beautiful. So many options

[@Roxas0792]

Also wouldn’t that technically be cubed root? Which is against the rules. No writing another number. Like squares or cubes

[@TheDreamCreamz]

13:04 That poor dude trying to high five LOL!

[@scamschool]

I am a bad friend to Roberto.

[@ShaughnessyMusic]

the eighth one could also be expressed as: 8 - √(√(8 + 8)) = 6 8 - √(√(16)) = 6 8 - √(4) = 6 8 - 2 = 6 which to me is much simpler

[@rokopalada571]

Cube root all 8's and add up those numbers

[@EARFQ]

Roko Palada you can’t use the cube root

[@eyewarsx]

You could do: floor(sqrt(8)) + floor(sqrt(8)) + floor(sqrt(8)) = 6

[@somebodyelse5784]

@@rokopalada571 Lol, I found that 8 immediately with cube root. 1 and 0 are the hardest; you'll have to know factorials to solve them.

[@hebernelski3898]

@@somebodyelse5784 It starts off saying that you can't use any operation that requires another number -- he specifically states you can't cube root

[@aadilsaagamer3317]

the guy in the end got left hanging disgustingly

[@guillermoronga1403]

Aadil SAAGamer tl vgvgb the

[@colossalnate156]

what

[@artrobert0875]

I saw that too!

[@christianromero6604]

I know right....cringe

[@theultimatedragonx]

@@guillermoronga1403 are you stroke

[@joshpark7827]

Does '6=6=6=6' work?

[@jcers]

Outstanding move

[@heavenpad-]

yea

[@kylelake5848]

Modern problems require modern solutions.

[@metal422life]

Wow

[@snatchngrab8262]

To solve the eights, I was going to to have: 8 + (8 / 8) = 6 ...and then turn the paper upside-down. 9 = (8 / 8) + 8

[@infamous5556]

Damn, that's smart as fuck

[@colossalnate156]

issue is they have to equal 6 as said in the start however if he didn't then you would be the smartest human on the fucking planet

[@wolf-mv1dr]

Yep, doesn't work tho

[@officalgtthunder8356]

You can just cube root the 8s to get 2s and then add them to make 6

[@lucaayfmlyysiaejdsrtnnervd4646]

Add a square root (sqrt ()) and a factorial (!) somwhere. 9 year old

[@freemanedwards5663]

I watched this 3 years ago just watching it again Lol I love it

[@youwillneverknowmyname4180]

i watched this video at least 4 years ago and i just learned what factorial is about 2 weeks ago in school

[@KhaosDCrab]

I just saw this comment 3 years after posting, time flies, you should watch again

[@bryant7369]

@@KhaosDCrab man I watched this in like eighth grade the first time and I’m graduated 😭 time really does fly

[@KhaosDCrab]

@@bryant7369 I feel ya bro, I watched this at 13, now im 20 out of school and in the workforce, well played young me stealing my youth XD

[@THEPELADOMASTER]

I never would have thought of factorials. But I did 8 :D sqr(sqr(8+8))=2 Then you do 8-2 and it's done :D

[@scamschool]

nice!

[@DraigaYT]

What I eventually got was 8-(8cos~1+8cos~1)=6

[@NudelGames]

I did floor(sqrt(8))+floor(sqrt(8))+floor(sqrt(8))

[@THEPELADOMASTER]

NudelGames I have no idea what you just did :P What is floor?

[@lucasfalcon4079]

Well.... that's an option

[@ArpitKhuranaa]

LOOK AT 13.05 THE GUY WANTED TO GIVE A HIGH FIVE BUT NO ONE LOOKS AT HIM...LOL

[@aeabottss22]

I solved this before the hints. It was fun and challenging, but I have a hard time believing nobody has solved this in front of him before. I guess if I had a couple beers before trying this, my attention span would’ve given out too quickly lol

[@simonnading]

Yay, I did it, and 5 of mine were subtly different from yours. I love these types of puzzles.

[@felix7115]

This is how I did it: 0 + 0 + 0 ≠ 6 1 + 1 + 1 ≠ 6 2 + 2 + 2 = 6 3 + 3 + 3 ≠ 6 4 + 4 + 4 ≠ 6 5 + 5 + 5 ≠ 6 6 + 6 + 6 ≠ 6 7 + 7 + 7 ≠ 6 8 + 8 + 8 ≠ 6 9 + 9 + 9 ≠ 6 '≠' means does not equal. So, for example, '1 + 1 + 1 ≠ 6' is a correct statement because that equals 3, not 6.

[@danielaharamoto4010]

Vault Boy the game is to make all the numbers equal to six

[@felix7115]

The rules were that you're able to use any (and he does emphasize 'any') mathematical symbol to complete the equation. All he says is that you need to make the statements correct. Besides, if they're using something obscure like factorials to solve it, then no reason to not use the ≠ sign.

[@10001willy]

There's always someone who thinks they're clever by saying ≠

[@sklanman]

My solution was to draw a slash through the equals sign to change it into not-equals, and no matter what other symbols I drew, NOT-equal would make the statement true.

[@grandexandi]

haha i thought of that too!

[@jcrawlox109]

I square rooted a square root, I don't see how thats illegal, for the 8's anyway. Got all of them except the freakin 1's and 0's lol (never learned about factorials :( ) 8 - (sqrt(sqrt(8+8)))

[@joedezz9917]

For the 8s you could also use floor functions.

[@chrisadams4984]

A double sqrt is a cube root which is illegal though.

[@jcrawlox109]

I'm not a mathematician so I have no idea, but is a double square root the same as taking the square root of a square root? Seems like two different processes instead of one, and a square root isn't a number its a symbol? I googled it and even google calculator gives the square root of square root as simply that.

[@delfinocastaneda1301]

Chris Adams it's not a cube root more like (x)^1/4

[@oleksandrbotte7662]

((sqrt(8 + 8))! / 8)! = 6

[@justtosuffer398]

LOL! I noticed that *all* the problems can all be solved the following way: ((c')!+(c')!+(c')!)! = 6 This will be true for *any* constants. They don't even need to be identical to one another hehe. :)

[@ians3282]

Nice work.

[@meissmart6678]

Sorry, what does x' do?

[@kurtmueller7972]

A Casual German how does it work with 2 and higher

[@justtosuffer398]

Meis smart It finds the derivative of the constant (equals to zero)...

[@justtosuffer398]

Kurt Mueller The derivative of any non-complex number equals zero. You end up solving it just as you would do zero.

[@alffbooks]

There are multiple solutions for all of them, even for 8, no need to use factorials to solve 8: 8-sqrt(sqrt(8+8)=6

[@fourier07able]

Your sentence: "There are *multiple* solutions *for all of them* " is false. BTW, nice your solution about 8s!

[@julienpitre802]

8-√(√(8+8)) =6 8+8=16 Square-root of 16=4 Square-root of 4=2 8-2=6

[@vioricasuper4127]

True.

[@AritraGhosh_afi]

Exactly as I did. but is it allowed?

[@AkibaMCRGrenias]

Aritra Ghosh Yeah, of course it is!! :D

[@julienpitre802]

It's way simpler than the one with the !.

[@kiriel0054]

This is cool, my high school math teacher/ chess club advisor taught us this riddle back in 2012. It's interesting to think this was so obscure since it became a almost viral puzzle to show all our friends that year.

[@earendil02]

Was I the only one to use semifactorials? XD (8!!)/(8*8)=6 I think it's quite elegant ;)

[@unclecreepy7025]

Yeah, there were way too many options to solve these that it shouldn’t have stumped anyone with knowledge of ! let alone knowledge of !!

[@connorh.5601]

For the 8s i came up with 8 - (sqrt(sqrt(8+8)))

[@TheMsr1997]

13:03 That awkward high five moment...

[@tadashimori]

I thought they couldn't use square roots as it has a implicit 2... But I could do all the numbers from 1 to 7 without sqrt =) the 4 was the most difficult. (4-(4/4))! = 3! = 6

[@scamschool]

Tadashi Mori impressive!

[@theodormontgomery311]

thought so too. once you allow sqrt and factorial you sure gotta allow operators like floor and ceiling functions. this would enable you to solve this puzzle for any real number. here's a quick "algorithm" for [x∈ℝ]: *add/subtract until you have one number *take the absolute value *sqrt until 2 floor *factorial e.g. lets say x = -20 => ceiling{sqrt{sqrt{|-20-20-20|}}}! = 6 please note: there is a square bracket notation for the gauss' floor and ceiling functions. therefore you do not need to write "floor{x}"; so you are not violating the rules of not adding any letters or numbers. if you can find any flaw in my reasoning i'd be glad if you pointed it out! also: thank you brian brushwood for sharing all those tricks with us! scam school rocks :P

[@vispidhala6000]

WOW TADASHI MORI IS HERE

[@tadashimori]

Vispi Dhala =)

[@SergeEpic]

4+4-2=6

[@strassburgs]

I love sharing this puzzle.

[@josephcunningham489]

Now if only my school ever taught that. I didnt even know what factorial was till this show

[@dino130395]

"Not equal" is a math sign too... Just cross off the equal sign and they'll be all correct

[@scamschool]

Dino Prašo If that's a solution, then I suppose tearing up the puzzle and saying "puzzle? I don't see any puzzle," would be one, too.

[@nightwolf7347]

Scam School ahh good point!

[@dino130395]

It is a valid mathematical symbol. Accoring to all the ruled you've defined in this chanlenge it seems to me as an acepateble and non-cheating way to complete the puzzle.

[@loganredfern620]

Dino Prašo I agree

[@JamesLee-nq6lf]

Scam School I believe he has just outscamed you

[@dominicyu4145]

i did 8 - sqrt (sqrt (8+8)) = 8 - sqrt (sqrt (16)) = 8 - sqrt (4) = 8 - 2 = 6 still valid right?

[@lordtechnowizard]

+Dominic Jonnathan Yu I got to 8 and 2 the same way but didn't see the 8-2 and instead did (sqrt(8+8)!/8)! (4!/8)! (24/8)! (3)!

[@aliasmask]

+Dominic Jonnathan Yu - Yep, that's how I figured it as well. And for 0's I did cos(0) = 1.

[@MauriceCalis]

Yeah, me too. Just roots. Couldn't figure out how to use factorial with 8's

[@MauriceCalis]

Nice

[@codyx8273]

This took me 4 days to solve. If it wasn't for your challenge, I would have just waited for the answers. Well done.

[@scamschool]

nice! congrats.

[@odv2525]

13:05 my life summed up in 2 seconds

[@elian5535]

I Remember solving this for show and tell in grade 3, with my feet, blindfolded, while playing the flight of the bumble bee on a hand-made harmonica.

[@scamschool]

Elian Garza Damn, son.

[@Nanomachines5on]

When you note down a square root, aren't you technically writing in a 2?

[@georgepadilla3207]

+Avinavi yeah, since you're technically raising it to the (^1/2) I was kinda confused

[@cloroxbleach1200]

+Avinavi no you are just doing a tick symbol

[@m.mahram633]

+Avinavi he did say in the beginning "you cant do cube roots because that would involve drawing a 3" which implies that square roots are fine because they dont involve drawing a 2

[@bacon8orhamandchease107]

yes it is just understood like the one in front of every number

[@blakewarrens3925]

+medusa T. Square roots have a 2 in them. In the same way as the sentence "Go over there" has a subject.

[@zeusrulez]

This video encouraged be to get an interest in maths which is my best subject in my senior year. Thank you scam school

[@petergerdes1094]

The easiest way to handle the problem is add an exclamation point before the equals making it an accepted notation for not equals.

[@Gytax0]

The most compact approach with 8's using the double factorial: (8!!)/(8*8) = 6

[@scamschool]

Gytax0 whoa.

[@nenutnilyryp399]

I'm new to this whole factorial stuff so correct me if needed, but isn't 8! = 40320? So another factorial would make it immeasurably big, right? Like 40320 × 40319 × 40318 and so on..?

[@xdarkfathom2]

Ylijohtaja Lintunen with double factorials, you basically skip every other number. So 8!! is (8*6*4*2) = 384. And 384/(8*8) = 6

[@nenutnilyryp399]

Ohh! Okay! That's cool! :)

[@MrAlexvisa]

ok for 8 it s a more simple way sqrt(8+8)-8=-6

[@JustDoWhatITellYou]

Couldn't you just take a derivative of all the numbers since the derivative of a constant is 0 and then go from there? So something like {(d/dx5)!+(d/dx5)!+(d/dx5)!}! = 6, would work for each row of numbers, just replace 5 with that rows number

[@XiahouJoe]

easy. All symbols on the table. cross out the equal sign to make it 'does not equal' except on 2. All of them 'do not equal' 6 (but the 2 ).

[@char11eg]

Just a thought for the zeros, but before you mentioned factorials, I was thinking of using cosine, as cos(0)=1, if I remember correctly.

[@tinokerkhof]

you don't need factorial for the 8s: 8 - sqrt(sqrt(8+8)) = 8 - sqrt(sqrt(16)) = 8 - sqrt(4) = 8 - 2 = 6

[@ThePedrodude]

I went the same way, 0 and 1 took me the longest. 8 came straight to me.

[@Samsonsuperco]

what the balls... this video still plays in the video player from 2013

[@jacksongarris2654]

My dad is insanely good at stuff like this, he did this faster than I could run an 800m run. Takes me 1:54 to run 800m. My dad did this in 1:52.

[@unclecreepy7025]

Yeah, this was too easy. Even if you solved it in the intentional way it was meant and didn’t just create “not equal to” signs.

[@davidmeyers9271]

Y'all definitely need to do more stuff like that. I learned that one in 6th grade back in Longview, Tx. Couldn't ever get past the zeros

[@SuperLusername]

isnt using square root forbidden, I mean square root is that simbol with the small 2 infront of it ( which we dont write but we know its there). English is not my first language and Idk alot of math terms but I'll do my best. when using the same simbol and putting a small 3 infront we get a (third root?) out of it, so when they used a square root they basically added a new number which was not allowed. If you're not allowed to raise to the power of 2 then why should you be able to use its inverse function which is sqare root? I hope I explained my question good.

[@Mehwhatevr]

implied numbers are ok.you just can't write in numbers. for example to do a cube root (would have been useful for 8) you would have to actually write in the 3 over the radical symbol

[@ColRogers420]

I thought the exact thing, I was under the impression that sqrt was not allowed. Since it is raising the number to a power of 1/2.

[@SuperLusername]

Rodolfo Baez It' simple mathematical logic. You and I are right, everyone who disagrees is wrong. *top gun high five*

[@Mehwhatevr]

evilsamar except that you are wrong. because there is always an implied exponent on any number. it is implied that any number without a square root sign has an exponent of 1. you don't have to write the 1 in because it is implied. therefore, you can actually solve the puzzle. By your reasoning, using factorial would not be allowed either because it implied the multiplication by other numbers. you can raise the number to an exponent of 1/2 because there is an operator that implies it without writing the numbers. if there were a cube root operator, it would also be legal. the trick to the puzzle for over thinkers like yourself, is recognizing that, Hey, I can cheat by writing a 1/2 exponent without actually writing the 1/2 because there is a universally accepted operator that does it for me. to take your reasoning further, multiplication should not be allowed because it truly only means that you add numbers together. 3x3 is really 3+3+3. Whoops, you can't write in numbers! Guess you can't multiply. believe what you'd like, but the reality is, to perform a square root, you do not have to write the 2 above the symbol which means that using square roots is totally compliant with the stated rules of the puzzle. It is a legal move.

[@SuperLusername]

meh! So what if there is an implied 1 as an exponent, it is alrady set in the puzzle. The puzzle would be completely the same if there was an exponent of 1 written on any number. As for multiplication you dont really pre imply any numbers with it. Multiplication has to be between two numbers to be solved while the square root doesn't because the 2 is implied. I'm not saying the puzle is wrong just that the rules aren't clear enough

[@RazShape]

just draw a line in to the equal sign and make it not equal I think ?

[@calvinlin5207]

could work, since it is mathematical XD

[@scamschool]

boo! Everyone thinks of that.

[@sarahbell180]

***** probaly everyone skipped over that!

[@ykagz007]

***** BURN THE WITCH!

[@TheSocialIrony]

***** This needs more likes.

[@Teguanna10]

laughing so hard watching this. made my day

[@esotericVideos]

I got all of 1-7 pretty fast, it wasn't until I watched a bit of the video and realized that you consider sqrt to be fair game because many math nerds would consider that introducing the number .5 (by raising to that power), this game gets completely solvable for all numbers if you allow for picking any base you want or if you have 4 of the same number equally 6. You also can get 0's into ones by using log or natural log.

[@MsHojat]

Yeah I was bothered by that as well. 8 can be done with semifactorials, but that is a very obscure symbol, one that kind of feels like cheating, since it's so obscure virtually no calculator that I'm aware of actually supports it, aside from specialized math programs for a computer. I'm not sure if 9 can be done at all without square root though. Edit: well it can be done, but it is *_ADVANCED_* and while it uses a common mathematical operation. In fact this method works for all numbers aside from zero.

[@shanybiran468]

Which logically leads me to an elegant solution for ANY number you choose! (Click "read more" for solution) 12 12 12 =6 13 13 13 =6 ...etc.. X X X = 6 |{X,X,X}|! =3! =6 *Note the cardinality of a set tells you how many members are in the set, and is denoted by the |...| symbols. Eg. the result of the cardinality of set {11,11} will give 2.

[@VIIflegias]

hah, right !

[@sexymagikarp9738]

the cardinality of set {11,11} is not 2. It is 1 since every element of a set have to be unique. However making it (|{X}|+|{X}|+|{X}|)! will make is work i guess.

[@reznovvazileski3193]

Rather than cardinality you could view it as a vector (x, x, x) and taking the modulus. Might just be exactly what you meant though but in these words I actually understand it myself :P Genius solution however!

[@sexymagikarp9738]

But there is not 2 elements in the set {11,11}, there is only 1 element which is 11 Take a look at this operation; {11,11} - {11}=∅ (the empty set) by definition. Therefore {11,11}⊂{11} * Then {11} - {11,11} = ∅ by definition Therefore {11} ⊂ {11,11} ** And * and ** tell us {11} = {11,11} So if |{11,11}| =2 and |{11}|=1 and since 2=! 1 gives us a contradiction. Your thinking is actually really well imo

[@danjbundrick]

Every single one of them can be solved the same way. The derivative of any constant is 0. (If you can't remember your calculus, every number not multiplied by a variable is a constant) 0! is 1. 1+1+1=3 and 3! is 6. All of them are solved the same way, which makes this puzzle exciting to solve, but boring once its solved. Here, I solved it: oi60.tinypic.com/2i90cva.jpg

[@evknucklehead]

+Daniel Bundrick Problem is writing the letters is a grey area considering the rules established. Given the discussion about integrals, they may not be allowed.

[@danjbundrick]

+evknucklehead d/dx just means "derivative of". It isn't actually a number or variable. A lot of mathematical functions use letters as symbols.

[@evknucklehead]

Same could be said of the 3 on cube roots, but those were explicitly forbidden. But, whatever.

[@danjbundrick]

+evknucklehead I totally agree with you, but also kinda disagree. I agree that it's kinda arbitrary that cubed roots are not allowed, but square roots are, and only because the 2 is implied. However, cubed root means raising the number to the 1/3 power. The puzzle would be very easy indeed if you could just raise the number to whatever is needed to make the number equal to 6. So I guess it's good that those numbers aren't allowed to be used. Also, he specifically said that integrals are allowed, so my d/dx gets a pass either way. :)

[@Kazutoification]

+Daniel Bundrick I thought Brian said integrals weren't allowed because you'd have to express the limits using numbers that you otherwise have no access to. Though, d/dx is pretty clever. :D

[@Papanda1995]

I didn’t get this the first time I watched it and had to watch for the answers. I gave this riddle to the girl I’m talking to and she solved them all without any help within minutes... I think I’m in love

[@tyrannasaurruss6329]

Solved it. Different answers than they got, but equally as valid.

[@fareedal-bandar2953]

i got a much easier answer for the 8s 8-sqrt(sqrt(8+8))=6

[@scamschool]

***** well done!

[@leandroh7]

I did like this too!

[@yousuck9dicks888]

That was my solution as well.

[@juancarlosgonzalezvillanue4992]

Me too

[@miikeV33]

Same solution for me as well. 8 came naturally when I started thinking about square roots. 0 and 1, I couldn't figure out on my own however.

[@thegnome54]

What about 8-sqrt(sqrt(8+8)) ?

[@chinchilla_fandoms9500]

Brian: There's no way you're gonna get the 0's. In fact, I'm gonna- Right Guy: Challenge accepted. Laughter all around

[@lucaayfmlyysiaejdsrtnnervd4646]

It's easy use factorial and addition. Basic facts: 0!=1 1!=1 2!=2 3!=6 4!=24 Try 5!. 5!=?

[@lukehenderson4814]

GUYS I GOT IT *!!!* He said you could use *ANY* operation you want so just add random opertions and change the equals sign to a "does not equal sign"

[@dizquier91]

13:03 guy on right TOTALLY IGNORED!

[@MarcJensan]

Eight was easy lsqrt(sqrt(8 + 8)) - 8l. The square root of 8+8 or 16 is 4. the square root of 4 is 2. 2-8 is -6 take the numeric value of -6 and you get 6.

[@NadiaHassan213]

Rafi Lerman Their way does work but the way Marc said it I personally think is easier.

[@jeremyrokas954]

Came up with the same thing as you but hey, they said there were multiple answers.

[@Dynikus]

Or you could just do 8 - sqrt(sqrt(8+8)) = 6.

[@davidniday7504]

THANK YOU FOR MAKING ME PAUSE!! Got them all done!

[@mikeadams1676]

I solved all 10, but have not seen or heard anyone so far suggesting the most elegant solution to "000" and "111". I did them both simply by adding this to the left side: ⌊(π + π) ⌋ = (pi plus pi) rounded down = (3.14 + 3.14) rounded down. So the first one is: 0+0+0 +⌊(π + π) ⌋ = 6. The second one is (1x1) - 1 +⌊(π + π) ⌋ = 6. Someone might say using pi is cheating because it is essentially adding a number to the equation. But the same is true for factorials, which allow you to "add" numbers to use in the equation. For that reason, I think the pi solution is more simple and elegant. In fact when Brian asked Diamond Jim for a one word clue for solving 0 and 1, I expected him to say "pi". I used the square root of a square root for #8. - Mike

[@kekaiskeka]

It is so simple for 8 too: 8 - (sqrt (sqrt( 8+ 8 )) = 6

[@-_Nuke_-]

Jagadish Uppala INDEED

[@Rupenbritz]

Jagadish Uppala You arent allowed to double square root.. Thats cube root which was explained to not be allowed.

[@Dexmente]

Rupenbritz double square root is not cube root. It's fourth root. Someone needs some math classes.

[@kekaiskeka]

Rupenbritz double square root is not cube root.

[@rjohnson8ball]

Jagadish Uppala I figured the same solution before the video ended.

[@slimChedeh]

yay i found out 8 all by myself.... after all the hints. but still, i is happy

[@StuartLangridge]

Brian singing "I'm Proud to be an American" at 13:04 always makes me laugh :)

[@mitchweiner]

That blew what's left of my mind...

[@vanshkumar6209]

*IM BORED*

[@irfantera6778]

I like the new hair :p

[@nachob97]

No hints, hour and a half to solve them all... Can't wait to show this to all of my engineering classmates, they're gonna love it!

[@scamschool]

well done!

[@geraldcollins5684]

I got it. Did all but the last three before letting the video run, paused at the commercial and got 0 and 1. And then paused again when you put 8 on the separate page to get the last solution, though slightly different than you showed in the video.

[@davidguerra2575]

Is it posible to use trigonometrical fuctions? Example: (cos(0)+cos(0)+cos(0))!=6

[@scamschool]

david guerra not bad!

[@Tsskyx]

sure, that's an alternate solution for 0's

[@joostvanmil432]

Solution to all real numbers: (ln(sqrt(x))+ln(x))/ln(sqrt(sqrt(x)))=6

[@martijncourteaux]

Very clever. I saw your comment stating that you found an expression for every real number. But I saw in a glimpse that you used ln and sqrt. So I started trying to figure out an expression like yours, and when I found one, I came to check your's and we had the same expression. (I guess it works for all complex numbers, except for 0).

[@joostvanmil432]

Martijn Courteaux You're right, it won't work on zero, neither on negative numbers. If you use |x| though, which is still correct according to the rules, it will work to all negatives. Zero does not work however, as ln(0) is not defined as e^x never gets to 0 and lim(x->0) e^x tends to negative infinity.. Another solution to zero, as zero factorial is not that common, cos(0) also results into 1, add all and a factorial and you're done as well. Complex numbers will definately not work as you will never get rid of i this way.

[@martijncourteaux]

Well, lim(x->0) (exp(x)) = exp(0) = 1. An exp(x) goes towards -∞ if for example x = lim(a->∞) (a+i*π). And it works for the whole complex plane except for 0. log/ln is defined for the whole complex plane except for 0. (Screenshot in maple: i.imgur.com/xLuGkAl.png)

[@joostvanmil432]

Ah, that's what I meant with the exp.

[@martijncourteaux]

I found a way to make it work for whole C. Just wrap every x between exp(exp(abs())).

[@eccellent_4582]

didn't know 0!=1 so I found all exept that one. nice puzzles, keep the schow going, it's great fun

[@adamleblanc5294]

Got it in about 5 minutes. Gonna watch now to see if I got it the same way they did, but I ended up using factorials and square roots to get a few.

[@ICrft2]

lol what If a teacher gave you this for a test :P

[@laurakristina6754]

that would NOT be awesome but I will give this to my math teacher XD and then lets see if she's smart enough to solve this puzzle XD

[@ICrft2]

what tsskyx? I posted that comment...

[@sprendinea]

8 - sqrt( sqrt(8+8) ) = 6

[@pekuja]

I think I might have done this back when the video first came out, but ran into the video again and puzzled it out on paper (sqrt stands for square root): (0!+0!+0!)! = 6 (1 + 1 + 1)! = 6 2 + 2 + 2 = 6 3! + 3 - 3 = 6 sqrt(4) + sqrt(4) + sqrt(4) = 6 5 + 5 : 5 = 6 6 + 6 - 6 = 6 7 - 7 : 7 = 6 (sqrt(8 + 8)! : 8)! = 6 sqrt(9)! + 9 - 9 = 6 The 8s were the trickiest.

[@ChurchOfThought]

8 is simply 8 - sgn(8) - sgn(8) sgn just returns 1 for positive numbers and -1 gor negative numbers. 🤡

[@fudgemem8]

I learnt this in an extension course in year 6 (Cube roots make 8 easy) the rest is just simple addition, division, square-roots and factorials.

[@robertreeler7915]

8 - sqrt(sqrt(8+8)) = 6 Much easier way of doing the 8's Not sure if anyone else has posted this.

[@jault01]

My math teach in 8th grade, about 18 years ago would make us do something similar to this. Each day we would go into class he would put the date up on the board. For example today is 5/22/2014. We had to make a math equation that was true, and we could use any math symbols, had to use an equal sign wherever we wanted, but the numbers had to stay in that order. I got so good at this due to a fascination I have with numbers, that he would start to limit me to 10 equations because I could easily fill the board and it took him too long to get through them all. For instance: 5 2 2 2 0 1 4 could be (5 x 2) + (2 + 2 + 0) = 14 This was fun to watch them struggle. The answer I came up with was (√((8 / 8) + 8))! I paused the video at 12:01 to write this. I swear I didn't cheat. The other answer, if it is allowed would be to not use a square root, but a cube root. The cube root of 8 is 2. The math then simply becomes: (cube root 8) + (cube root 8) + (cube root 8) = 6 I believe you wouldn't allow that though, because the symbol on a calculator for cube root is 3√, but on calculators that have cube root, the square root symbol is shown as 2√. I'd call that a technicality though, because it's not fair that they didn't decide on a better symbol for it. Great video though guys. I liked this a lot.

[@jault01]

^Spoiler Alert! I posted my (the correct) answer in this message.

[@scamschool]

what a cool idea!

[@ivarangquist9184]

This is how I solved the 8: log( 8% / 8 ) + 8 8% = 0.08 0.08 / 8 = 0.01 log( 0.01 ) = -2 -2 + 8 = 6 Wow, people have found so many ways!

[@doldolhorse5937]

This was actually one of the few riddles I got on my own...

[@orangegold1]

Wow just finished watching the whole thing.. for 8 I did this (after already solving with inverse-tetration (which is basically a different way of what I'm about to write but whatever)... 8+8 is 16.. square root of 16 is 4, square root of 4 is 2, 2-8 is negative 6 and absolute value of -6 is 6... |sqrt(sqrt(8+8))-8|

[@AwkwardSnow]

think about how many numbers you would have drawn to do this

[@ThomasMarkus]

tyler edwards |(√√(8+8))-8|

[@NCHobbies]

i got the other 7 on my own, just couldn't find anything for 000 and 111

[@billmars6436]

ROFL there are 10 not 9. Good job on getting seven of the but I don't know how you did it if you can't count to ten lol.

[@theeboseissher]

I had watched this video about 7 years ago and Im glad i was able to remember the answers to all except for 8

[@TheNolanbrough]

Got them all! Paused when you said to

[@MirkoM2425]

AHAHAHAHAHAHAHHHAHAAHAHHA 13:04 LOL xD

[@xFinalxArenox]

Loooooooooooooooooooooooooooooool

[@ThisNameNowTakenIs]

I got the eight one as: 8- sqrt(sqrt(8+8)) = 6

[@paultomasi]

did the whole thing in less than 2 minutes. but then, i enjoy math puzzles!

[@radianthero3222]

Brian. I figured it out in about 1 1/2 minutes. I used something I doubt is allowed, but I think it is and if so it is super duper easy

[@hielispace]

Guessing before hand, you just change draw a slash though the equals sign

[@_wouter52]

Thats what I thought too :P Its really cool that there is a 'real' anwser to this puzzle (:

[@Mrjman1965]

You could just put a mark through all of the equal signs and make them 'not equal to' signs.

[@scamschool]

better yet, why not "solve" it by tearing the page up altogether?

[@lovecastle7154]

Also nowhere is it said that you can't mix numbers from different lines

[@danielferreirasantos8099]

Super good! Got stuck after the same as them, but after the factorial hint: GOTCHA!

[@pug4pres]

I ADded a degree sign to the zero and then made cos0degrees=1, then did the 1+1+1 factorial thing. Are we allowed to do that?

[@Javired100]

c - c - c ≠ 6 for all the answers gets you free beer for life using the rules provided

[@mattbartle6409]

I thought the same thing wondered if that was technically legal

[@YoungColCol]

I did it! :) For 8 I did.. 8 - root(root(8 + 8))

[@YoungColCol]

Or you could use decimal points and the "round up/down to the nearest integer" symbols for trivial solutions

[@zwz.zdenek]

I found that on my own too. But I wouldn't have the patience to finish the whole thing IRL.

[@eliasmannherz259]

I just did (root 8+8:8)! Works as well ;) bec 3! is 6

[@aaronvuong2890]

***** same i thought i was the only one!

[@BrutalGamingNL]

I did the exact same way

[@maxsmiley5471]

If you square route each number infinitely, the limit will be 1. Therefore, you could technically solve any by square routing the number infinitely, adding them up, the taking the factorial.

[@Stan-im1ri]

Okay that was amazing(epic style)

[@mynameis214365]

You don't need factorials for 8 8 8 = 6 You can take 8 - square root (square root (8 + 8)) = 6 8 - square root(square root(16)) 8 - square root(4) 8 - 2 = 6

[@xxNasaghostxx]

wouldn't that be a cubed root requiring you to write a number?

[@crimsontuba1]

Alan Shea no, Square root is the same as taking the power of 1/2. so a sqrt(sqrt(8+8)) =((8+8)^(1/2))^(1/2)...........to simplify the powers you multiply them, 1/2*1/2 is 1/4 so =(16)^1/4 =2 and 8-2=6 you write sqrt of sqrt, but it's really a fourth root.both notations are valid, but one does not require you to write a number.

[@andoniarangurenubierna5660]

Alan Shea You can write another square root without a numer like square root(square root (16))

[@psychicalligator9419]

the square root of 16 is 4

[@danielrowling5]

psychicalligator and if you take the square root of the square root, you'll get 2 and 8-2 and that's = 6

[@jangwoo24]

Can't you use a not equals sign?

[@scamschool]

not if you want a beer from me. :-D

[@jangwoo24]

But it's clever-er than all of those math geeks. I'm clever-er than any math geek for one reason: I'm a *_NERD_*

[@westly7rock]

Jangwoo Lee NERDs FOR THE WIN!

[@jangwoo24]

WHOOOOOOOOOOOOO!!!

[@jangwoo24]

Scam School Who said I wanted alcohol; a cup of juice will do.

[@ethanlee5729]

you should clarify that you can use square root because some people might take the fact that you can't add numbers as not being able to square root, as it is the same as the 1/2 power, which is adding number

[@translaterinokripperino5824]

I found that just adding a simple line through the "equals sign" allows you to do anything but the correct way.

[@KovuJenkai]

Scam School ...I paused at 3:43...What if I just drew a line through the equals signs?

[@adij617]

I was thinking that.

[@theinvisiblearmadilloofdea6204]

I'm a bit of a math geek so I already knew what a factorial was. Wasn't too difficult from there.

[@b455player]

Took me 5mins, the trick being to use (pi +pi)/pi = 2 if we call that sum S then 0+0+0+S+S+S=6 1xS + 1xS +1xS = 6 8+8-8-S=6 the other numbers as demonstrated are simple (arguably pi is a number but you did say mathematical symbols are allowed) Loved the guys use of factorals !!! Great puzzle, keep them coming

[@PDeRop]

This one has been so much fun on the last family get-together. I owe you some beers guys ! btw.. do you know the song "bamboozled" ? nice slick blues song?